Which of the following is TRUE regarding the English System of Measurement?

The English system is based on the natural world, such as the length of a human foot or the width of a finger.

The English system is based on multiples of 10, making conversions easy.

The English system is based on the metric system but uses different units.

The English system is derived from ancient Roman measurements.

Which of the following statements is TRUE regarding the Metric System of Measurement?

The metric system is a globally recognized system of measurement that uses prefixes to denote differences between measurements.

The metric system is based on multiples of 10.

The metric system is based on multiples of 12.

The metric system is more complex than the English system.

A student is trying to convert 2,678 centimeters to inches. They calculated the answer to be 6,802.12 inches. Which of the following best describes the error in the student's calculation?

The student should have multiplied the conversion factor $$\frac{1\ in}{2.54\ cm\ }$$ instead of $$\frac{2.54\ cm}{1\ in}$$

The student multiplied by the conversion factor instead of dividing.

The student used the wrong conversion factor.

There is no error in the student's calculation.

Refer to the image on the right. What is the volume of the given figure?

$$\pi\ \times\ 4\times2^2$$ cu. units

$$\pi\ \times\ 4\times\ 2$$ cu. units

A student calculated the volume of a cylinder with a height of 10 centimeters and a radius of 3 centimeters to be 94.2 cubic centimeters. Which of the following best describes the error in the student's calculation?

The student forgot to square the radius in the formula.

The student correctly calculated the volume.

The student used the wrong value for $$\pi$$ .

The student added the radius and height instead of multiplying them.

What is the formula for the volume of a rectangular pyramid?

$$V=\frac{1\times\ w\times\ h}{3}$$ where l is the length, w is the width and h is the height of the pyramid.

$$V=\frac{1}{3}\times\ l\times\ w\times\ h$$ where l is the length, w is the width and h is the height of the pyramid.

$$V=l\text{ + w + h}$$ where l is the length, w is the width and h is the height of the pyramid.

$$V=\frac{l\times\ w\times\ h}{2}$$ where l is the length, w is the width and h is the height of the pyramid.

A student wants to find the volume of a square pyramid. They know the formula for a rectangular pyramid and that the side of the square is s. How can they modify this formula to fit a square pyramid?

Replace the $$l\times\ w$$ part with $$s^2$$ . The new formula is $$V=\frac{s^2h}{3}$$ .

Replace the $$l\times\ w$$ part with $$s\times\ s$$ . The new formula is $$V=\frac{s\times\ s\times\ h}{3}$$ .

Double the height in the formula. The new formula is $$V=\frac{l\times\ w\times\ 2h}{3}$$ .

Divide the formula by 2 instead of 3. The new formula is $$V=\frac{l\times\ w\times\ h}{2}$$ .

A square pyramid has a base side length of 4 units and a volume of 32 cubic units. How can you calculate its height?

You can divide the volume by the $$4\times\ 4$$ .

You can multiply the volume by 3 and then divide by $$4\times\ 4$$ .

You can multiply the volume by $$4\times\ 4$$ .

You can divide the volume by $$4\times4$$ and then multiply by 3.

A group of students was tasked to get soup from the community kitchen for the barangay’s feeding program. They found two cylindrical containers, A with a radius of 24 inches and a height of 16 inches and B with a radius of 12 inches and a height of 32 inches. Which of the following containers will hold more soup?

Container A because it has a larger volume.

Container A, because it is taller.

Container B, because it is wider.

Container B because it has a larger volume.

A cylinder and a square pyramid have the same height. The radius $$r$$ of the cylinder is equal to the length of a side $$s$$ of the pyramid's base. Which of the following is true?

The volume of the cylinder is greater than the volume of the pyramid.

The cylinder and the pyramid have the same volume because their heights are the same.

The volume of the pyramid is greater than the volume of the cylinder.

V is the volume of the cylinder. If the height of the cylinder is tripled, and its radius stays the same, what will the new volume?

The new volume is three times the original volume.

The new volume will be the same because the radius stays the same.

The volume will increase, but only by a small amount because the radius remains unchanged.

The new volume will be three times the radius of the cylinder.

If the height and the radius of a cylinder are both doubled, what will be the new volume?

The new volume will be eight times the original volume.

The new volume will be double the original volume because the radius is doubled.

The new volume will be four times the original volume.

The new volume will be twice the original volume because doubling the radius only affects the volume.

A set is a collection of distinct objects that can be categorized or organized based on certain characteristics

A set is a group of things or a list.

A set is a collection of distinct objects.

A set is something that has multiple elements.

What is each object in a set called?

An element that may belong to other groups.

A member that may belong to other groups.

An element which does not have a copy within the group.

Why is 'collection of tall students' not considered a set?

The term 'tall students' is not clearly defined.

A set must have well-defined elements.

The term 'tall' is unclear and subjective, which may lead to uncertainty.

It's not a set because it's not specific.

Why is the expression $$\left\{x\text{ / x > 5}\right\}$$ a valid set-builder notation?

It stated the rule that x is a number greater than 5.

It has numbers and curly braces.

It has a symbol '|' that represents 'such that.'

Which of the following statements is true regarding the set A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}?

The set contains the first ten prime numbers.

The set contains numbers less than 30.

The set includes numbers greater than 1.

How can we write the set A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29} in set-builder notation?

A=x x are prime numbers less than 30}

A=x x are numbers less than 30}

A={x | x are numbers greater than 1}

Mathematics 7 Second Quarter Exam

Authored by Marvin Arce

Computers

8th Grade

Used 3+ times

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40 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following words best describe the square root of a number?

number multiplied by itself

A number divided by 2

A number that, when multiplied by itself, gives the original number

A number that is always greater than the original number

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which of the following can be represented as a whole number?

MULTIPLE SELECT QUESTION

1 min • 1 pt

What is the square root of 49?

7×7

-7

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which of the following shows the cube of 3?

3+3+3

3×3×3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following words best describe the cube root of a number?

A number multiplied by itself three times.

A number that is divided into three equal parts.

A number that, when multiplied by itself twice, equals a given value.

A number that, when multiplied by itself three times, equals a given value.

MULTIPLE SELECT QUESTION

1 min • 1 pt

What is the side length of the square garden with an area of 144 square meters?

144 meters

12 meters

72 meters

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is an irrational number?

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Mathematics 7 Second Quarter Exam

Which of the following words best describe the square root of a number?

Which of the following can be represented as a whole number?

What is the square root of 49?

Which of the following shows the cube of 3?

Which of the following words best describe the cube root of a number?

What is the side length of the square garden with an area of 144 square meters?

Which of the following is an irrational number?

Which of the following statements is true?

Which number lies between 0 and 5?

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